A tuning fork of frequency 512 Hz makes 4 beats per second with the vibrating string of a piano. The beat frequency decreases to 2 beats per 
when the tension in the piano string is slightly increased. The frequency of the piano string before increasing the tension was
Text Solution
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Let the frequencies of tuning fork and piano string be 
and 
respectively.
Hz or 508 Hz
Increase in the tension of a piano string increases its frequency.
If 
Hz, further increase in 
, resulted in an increase in the beat frequency. But this is not given in the question.
If 
Hz, further increase in 
resulted in decrease in the beat frequency. This is given in the question. When the beat frequency decreases to 2 beats per second. Therefore, the frequency of the piano string before increasing the tension was 508 Hz.
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